Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.

Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.

This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

A modern quantitative approach to structural geology and tectonics for advanced students and researchers.

The Manchester Physics Series General Editors: D. J. Sandiford; F. Mandl; A. C. Phillips Department of Physics and Astronomy, University of Manchester Properties of Matter B. H. Flowers and E. Mendoza Optics Second Edition F. G. Smith and J. H. Thomson Statistical Physics Second Edition E. Mandl Electromagnetism Second Edition I. S. Grant and W. R. Phillips Statistics R. J. Barlow Solid State Physics Second Edition J. R. Hook and H. E. Hall Quantum Mechanics F. Mandl Particle Physics Second Edition B. R. Martin and G. Shaw The Physics of Stars Second Edition A. C. Phillips Computing for Scientists R. J. Barlow and A. R. Barnett Statistical Physics, Second Edition develops a unified treatment of statistical mechanics and thermodynamics, which emphasises the statistical nature of the laws of thermodynamics and the atomic nature of matter. Prominence is given to the Gibbs distribution, leading to a simple treatment of quantum statistics and of chemical reactions. Undergraduate students of physics and related sciences will find this a stimulating account of the basic physics and its applications. Only an elementary knowledge of kinetic theory and atomic physics, as well as the rudiments of quantum theory, are presupposed for an understanding of this book. Statistical Physics, Second Edition features: A fully integrated treatment of thermodynamics and statistical mechanics. A flow diagram allowing topics to be studied in different orders or omitted altogether. Optional "starred" and highlighted sections containing more advanced and specialised material for the more ambitious reader. Sets of problems at the end of each chapter to help student understanding. Hints for solving the problems are given in an Appendix.

A comprehensive but accessible advanced undergraduate treatment of classical mechanics, adaptable to a one or two-semester course.

This book offers a unique perspective on one of the deepest questions about the world we live in: is reality multi-leveled, or can everything be reduced to some fundamental ‘flat’ level? This deep philosophical issue has widespread implications in philosophy, since it is fundamental to how we understand the world and the basic entities in it. Both the notion of ‘levels’ within science and their ontological implications are issues that are underexplored in the philosophical literature. The volume reconsiders the view that reality contains many levels and opens new ways to understand the ontological status of the special sciences. The book focuses on major open questions that arise at the foundations of cognitive science, cognitive psychology, brain science and other special sciences, in particular with respect to the physical foundations of these sciences. For example: Is the mental computational? Do brains compute? How can the special sciences be autonomous from physics, grounded in, or based on, physics and at the same time irreducible to physics? The book is an important read for scientists and philosophers alike. It is of interest to philosophers of science, philosophers of mind and biology interested in the notion of levels, but also to psychologists, cognitive scientists and neuroscientists investigating such issues as the precise relation of the mental to the underlying neural structures and the appropriate approach to study it.

Geophysics and Geochemistry is a component of Encyclopedia of Earth and Atmospheric Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. Geophysics and Geochemistry are two closely intertwined and collaborating branches of Earth’s sciences. The content of the Theme on Geophysics and Geochemistry is organized with state-of-the-art presentations covering eight main topics: Foundations of Geophysics and Geochemistry; Geophysical Systems; Seismology and Volcanology; Geomagnetism and Geoelectricity; Aeronomy and Magnetosphere; Gravimetry; Geochemistry and Cosmochemistry; Planetology – Comparative Planetology of Earth-like Planets and Astrobiology which are then expanded into multiple subtopics, each as a chapter. These three volumes are aimed at the following a wide spectrum of audiences from the merely curious to those seeking in-depth knowledge: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs

This book offers the first introduction to a major Japanese philosophical movement through the interests and arguments of its founder, Nishida Kitaro (1870-1945), his successor, Tanabe Hajime (1885-1962), and student-turned-critic, Tosaka Jun (1900-1945). Focusing on their contributions to thinking about place, space, and dialectics, this concise introduction brings these influential thinkers to life by connecting their work to issues still debated in the philosophy of science and physics today. Beginning with an overview of the reception of quantum physics and relativity theory in Japan and concluding with an account of the direct relevance of the Kyoto School to the development of world philosophy in a posthuman age, each clearly-written chapter engages historical contexts and includes: · Carefully-chosen excerpts and original translations of Nishida, Tanabe, and Tosaka · Focus boxes explaining complex concepts and problems of contextualization · A timeline, glossary and index · Further reading lists featuring relevant and significant articles and books in English This introduction is an ideal starting point for students and lecturers looking to become better acquainted with three central Japanese philosophers and learn why their work impacts our current thinking about science.